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22 March, 10:05

Find the ordered pairs for the x - and y-intercepts of the equation 5x - 6y = 30 and select the appropriate option below.

a. The x-intercept is (6, 0), the y-intercept is (0, - 5).

b. The x-intercept is (0, 6); the y-intercept is (-5, 0).

c. The x-intercept is (5, 0); the y-intercept is (0, - 6).

d. The x-intercept is (0, 5); the y-intercept is (-6, 0).

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  1. 22 March, 12:03
    0
    Finding the x-intercept

    Since it lies on the x-axis, we know that y=0. Let's plug this into our equation.

    5x - 6 (0) = 30

    Let's solve for x.

    5x - 0 = 30

    5x = 30

    Divide each side by 5.

    x = 6

    Our x-intercept is at (6, 0).

    Finding the y-intercept

    Since it lies on the y-axis, we know that x=0. Let's plug this into our equation.

    5 (0) - 6y = 30

    Let's solve for x.

    0 - 6y = 30

    -6y = 30

    Divide each side by - 6.

    y = - 5

    Our y-intercept is at (0, - 5).

    Final answer: a. The x-intercept is (6, 0); the y-intercept is (0, - 5).
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